The Dehn function of Baumslag's Metabelian Group
Group Theory
2011-05-05 v2
Abstract
Baumslag's group is a finitely presented metabelian group with a Z \wr Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m \wr Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions. v.2: version for publication, incorporating referee's suggestions.
Keywords
Cite
@article{arxiv.1008.1966,
title = {The Dehn function of Baumslag's Metabelian Group},
author = {Martin Kassabov and Tim Riley},
journal= {arXiv preprint arXiv:1008.1966},
year = {2011}
}
Comments
10 pages, no figures, to appear in Geometriae Dedicata